
Ruibin Zhang
University of Sydney
KazhdanLusztig polynomials for Lie superalgebras and
a duality theorem
Friday 17th September, 12:0512:55pm,
Carslaw 175.
An isomorphism is established between Grothendieck groups of the
type A Lie algebra and Lie superalgebra in the inductive limit. The proof
is derived from the respective KazhdanLusztig theories for the algebras
reformulated in terms of canonical bases of a quantum group. A
consequence of this isomorphism is that the usual parabolic
KazhdanLusztig polynomials of type A compute the characters of the
finite dimensional irreducible representations of the general linear
superalgebra. This is joint work with Cheng (Taiwan) and Wang
(Virginia).







